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Finding the Fourth Proportional to 5,771.94, 8,656.71 and 2,024.22

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Solution

The fourth proportional to 5,771.94, 8,656.71 and 2,024.22 is: 3,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.94 : 8,656.71 = 2,024.22 : x
  2. Step 2: Convert to fraction form
    5,771.94/8,656.71 = 2,024.22/x
  3. Step 3: Cross multiply
    5,771.94x = 8,656.71 × 2,024.22
  4. Step 4: Simplify right side
    5,771.94x = 17,523,085.52
  5. Step 5: Solve for x
    x = 17,523,085.52/5,771.94
  6. Step 6: Final answer
    x = 3,035.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.